When you replace the comparison symbol (<) with an equal sign (=), you get the equation of a line in slope-intercept form:
... y = mx + b
where <em>m</em> is the slope, and <em>b</em> is the y-intercept.
Your equation has m = -1/4 and b = -1. To graph this line, find the point (0, -1) on the y-axis. To find another point on the line, you can use the slope value (rise/run = -1/4), which tells you the line "rises" -1 for each "run" of +4. That is, another point on the line will be 4 units to the right and 1 unit down, at (4, -2). Working in the other direction (to the left, instead of to the right), the -1/4 slope tells you the point 4 units left and 1 unit up (-4, 0) will also be on the line. <em>Draw a dashed line through these points,</em>
The dashed line you just drew is the boundary of the solution region. It is dashed because the line itself is not part of the solution. (Those points do not meet the requirement for "less than.")
Appropriate values of y are ones that are <em>less than</em> those on the line, so the solution region is indicated as being the half-plane <em>below</em> the line. You indicate this by shading the solution region. (See the attachment for an example of the way this can be graphed.)
_____
If the comparison is ≤ instead of <, then the line is solid (not dashed), indicating it is part of the solution region. If the comparison is > or ≥, then the shaded region is <em>above</em> the line, where y-values are greater than those on the line.
Answer:
48 cents
Step-by-step explanation:
The value of V is 32 when p = 4 if the inverse variation equation is p=8/V option fourth is correct.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is:
For the inverse variation equation p=8/V, what is the value of V when
p = 1/4
We have an inverse variation equation:
p = 8/V
Plug the value of p = 4 in the above expression, we get:
1/4 = 8/V
V = 8×4
V = 32
Thus, the value of V is 32 when p = 4 if the inverse variation equation is p=8/V option fourth is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ1
Answer:
13.34
Step-by-step explanation:
5.15+5.15=10.30
+3.04=13.34
Answer:
Price of a senior citizen ticket is $4 and price of a student ticket is $15 .
Step-by-step explanation:
Let us assume that the price a senior citizen ticket be x .
Let us assume that the price a student citizen ticket be y .
As given
The school that Jack goes to is selling tickets to a choral performance.
On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.
Equtaions becomes
9x + 8y = 156
As given
The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.
Equations becomes
7x + 9y = 163
Multipy 9x + 8y = 156 by 9 .
81x + 72y = 1404
Multiply 7x + 9y = 163 by 8 .
56x + 72y = 1304
Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .
81x - 56x + 72y - 72y = 1404 - 1304
25x = 100
x = $ 4
Putting value of x in the 56x + 72y = 1304 .
56 × 4 + 72y = 1304
224 + 72y = 1304
72y = 1304 - 224
72y = 1080
y = $15
Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .
